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12334311024 = 243736709259
BaseRepresentation
bin10110111110010111…
…01010011001110000
31011211121011220212020
423133023222121300
5200230040423044
65355531031440
7614440625310
oct133713523160
934747156766
1012334311024
11525a440482
12248289b580
1312174b68b9
148501a3440
154c2caaa19
hex2df2ea670

12334311024 has 40 divisors (see below), whose sum is σ = 36415585920. Its totient is φ = 3524088768.

The previous prime is 12334311013. The next prime is 12334311037. The reversal of 12334311024 is 42011343321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12334310985 and 12334311003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18354294 + ... + 18354965.

It is an arithmetic number, because the mean of its divisors is an integer number (910389648).

Almost surely, 212334311024 is an apocalyptic number.

12334311024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12334311024 is an abundant number, since it is smaller than the sum of its proper divisors (24081274896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12334311024 is a wasteful number, since it uses less digits than its factorization.

12334311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36709277 (or 36709271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12334311024 its reverse (42011343321), we get a palindrome (54345654345).

The spelling of 12334311024 in words is "twelve billion, three hundred thirty-four million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36709259 73418518 110127777 146837036 220255554 256964813 293674072 440511108 513929626 587348144 770894439 881022216 1027859252 1541788878 1762044432 2055718504 3083577756 4111437008 6167155512 12334311024